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Title Advances in Nonlinear Dynamics: New Existence Results for Sequential Generalized Nonlinear Hilfer Fractional q-Differential Inclusions via Multi-point Boundary Conditions
Type Book
Keywords fractional $q$-differential inclusions; $\xi$-Hilfer fractional $q$-derivatives; Convex; Nonconvex; numerical direction
Abstract In this paper, we talk about the presence the existence of solutions for a generalized Hilfer fractional $q$-differential inclusions dynamical system with multi-point boundary conditions. Both cases of convex and nonconvex esteemed right-hand side are considered. Our gotten comes about are later within the outline of a generalized Hilfer fractional $q$-derivative with multi-point boundary conditions via the fixed point theorems for set-valued mappings. A few relevant illustrations illustrating the viability of the hypothetical comes about are displayed.
Researchers Adel Lachouri (Third Researcher), Ahmad Ahmadi (Second Researcher), Mohammad Esmael Samei (First Researcher)